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4 years ago

Can you help me with this? 2 - -(-1/8) + -7/4

Mathematics

2 answers:

WITCHER [35]4 years ago

5 0

=2- (+1/-8)+-7/4

=2- (+1/-8)-7/4

=2- -0.125-7/4

=2+0.125-7/4

=2+0.125-1.75

=2.125-1.75

=0.375

den301095 [7]4 years ago

3 0

Hello!

Note that when seeing an odd number of negatives next to each other, it will remain negative, while having an even number would be positive. For example, -- is +, while --- is -.

Based on this information, we can rewrite the equation below.

2-1/8-7/4

Let's rewrite 7/4 out of 8.

2-1/8-14/8

2-15/8

Let's rewrite 2 as an improper fraction.

16/8-15/8=1/8

Therefore, our answer is 1/8.

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See below

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We want to prove that

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Taking the RHS, note

$\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}$

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$\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)$

Therefore,

$\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}$

Once

$\dfrac{\sin(x)}{\cos(x)} = \tan(x)$

Then,

$\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)$

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3 years ago

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3 years ago

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Answer:

The age of the horse, in human years, when Alex was born can be determined by simply deducting the Current age of Alex from the Current age of the horse in human years.

Therefore, the age of the horse, in human years, when Alex was born was 42 years.

Step-by-step explanation:

Current age of Alex = 8

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Since the age of the horse is already stated in human years, it implies there is no need to convert the age of the horse again.

Therefore, since Alex is a human who was born 8 years ago, the age of the horse, in human years, when Alex was born can be determined by simply deducting the Current age of Alex from the Current age of the horse in human years as follows:

The age of the horse, in human years, when Alex was born = 50 - 8 = 42

Therefore, the age of the horse, in human years, when Alex was born was 42 years.

This can be presented in a table as follows:

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Eight years ago 0 42

Current age 8 50

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